130139402400 has 864 divisors, whose sum is σ = 546208790400. Its totient is φ = 28527206400.

The previous prime is 130139402399. The next prime is 130139402417. The reversal of 130139402400 is 4204931031.

130139402400 is a `hidden beast` number, since 1 + 30 + 1 + 394 + 0 + 240 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 393170235 + ... + 393170565.

It is an arithmetic number, because the mean of its divisors is an integer number (632186100).

Almost surely, 2^130139402400 is an apocalyptic number.

130139402400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130139402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273104395200).

130139402400 is an abundant number, since it is smaller than the sum of its proper divisors (416069388000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130139402400 is a wasteful number, since it uses less digits than its factorization.

130139402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 130139402400 in words is "one hundred thirty billion, one hundred thirty-nine million, four hundred two thousand, four hundred".